For different types of buses/nodes in load flow analysis, explain their definitions and possible numbers in a power system.

What is the purpose of a load flow analysis in a power system, and how does it contribute to grid stability and reliability?

Refer to the 5-bus data given below. Sbase = 400 MVA, the base voltage is 15.0 kV for buses 1 and 3, and 345 kV for buses 2, 4, 5. Note that 1-5 and 3-4 are 15/345 kV transformers.a) Draw a one-line diagram of the power system.b) Find the elements Y23, Y43, Y11 Y33 of the system bus admittance matrix.

A power system consists of 400 buses out of which 30 buses are generator bus. 40 buses are the ones with reactive power support and 15 buses are the ones with fixed shunt capacitors. All other remaining buses are load buses. It is proposed to perform a load flow analysis in the system, using Newton-Raphson method, then size of Jacobian matrix is